메뉴 건너뛰기




Volumn 219, Issue 2, 1998, Pages 179-199

Coexistence States for Periodic Competitive Kolmogorov Systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001377799     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5726     Document Type: Article
Times cited : (31)

References (40)
  • 1
    • 84966201997 scopus 로고
    • On the nonautonomous Volterra-Lotka competition equations
    • Ahmad S. On the nonautonomous Volterra-Lotka competition equations. Proc. Amer. Math. Soc. 117:1993;199-204.
    • (1993) Proc. Amer. Math. Soc. , vol.117 , pp. 199-204
    • Ahmad, S.1
  • 2
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competing species problem
    • Alvarez C., Lazer A. C. An application of topological degree to the periodic competing species problem. J. Austral. Math. Soc. Ser. B. 28:1986;202-219.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.28 , pp. 202-219
    • Alvarez, C.1    Lazer, A.C.2
  • 4
    • 0019591466 scopus 로고
    • Periodic solutions of a predator-prey system with periodic coefficients
    • Butler G. J., Freedman H. I. Periodic solutions of a predator-prey system with periodic coefficients. Math. Biosci. 55:1981;27-38.
    • (1981) Math. Biosci. , vol.55 , pp. 27-38
    • Butler, G.J.1    Freedman, H.I.2
  • 7
    • 0009835816 scopus 로고    scopus 로고
    • Homeomorphisms of the disk with trivial dynamics and extinction of competive systems
    • Campos J., Ortega R., Tineo A. Homeomorphisms of the disk with trivial dynamics and extinction of competive systems. J. Differential Equations. 138:1997;157-170.
    • (1997) J. Differential Equations , vol.138 , pp. 157-170
    • Campos, J.1    Ortega, R.2    Tineo, A.3
  • 8
    • 0002387817 scopus 로고
    • Continuation theorems for periodic perturbations of autonomous systems
    • Capietto A., Mawhin J., Zanolin F. Continuation theorems for periodic perturbations of autonomous systems. Trans. Amer. Math. Soc. 329:1992;41-72.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 41-72
    • Capietto, A.1    Mawhin, J.2    Zanolin, F.3
  • 9
    • 0019202916 scopus 로고
    • Two species competition in a periodic environment
    • Cushing J. M. Two species competition in a periodic environment. J. Math. Biol. 10:1980;385-400.
    • (1980) J. Math. Biol. , vol.10 , pp. 385-400
    • Cushing, J.M.1
  • 10
    • 0001500276 scopus 로고
    • Periodic Kolmogorov systems
    • Cushing J. M. Periodic Kolmogorov systems. SIAM J. Math. Anal. 13:1982;811-827.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 811-827
    • Cushing, J.M.1
  • 11
    • 0009458077 scopus 로고
    • A priori bounds and periodic solutions for a class of planar systems with application to Lotka-Volterra equations
    • Ding T., Huang H., Zanolin F. A priori bounds and periodic solutions for a class of planar systems with application to Lotka-Volterra equations. Discrete Continuous Dynamical Syst. 1:1995;103-118.
    • (1995) Discrete Continuous Dynamical Syst. , vol.1 , pp. 103-118
    • Ding, T.1    Huang, H.2    Zanolin, F.3
  • 12
    • 0009429270 scopus 로고    scopus 로고
    • Periodic solutions and subharmonic solutions for a class of planar systems of Lotka-Volterra type
    • New York: de Gruyter. p. 395-406
    • Ding T., Zanolin F. Periodic solutions and subharmonic solutions for a class of planar systems of Lotka-Volterra type. Proceedings, 1st WCNA (Tampa, FL, 1992). 1996;de Gruyter, New York. p. 395-406.
    • (1996) Proceedings, 1st WCNA (Tampa, FL, 1992)
    • Ding, T.1    Zanolin, F.2
  • 13
    • 0002676883 scopus 로고
    • Persistence in a model of three competitive populations
    • Freedman H. I., Waltman P. Persistence in a model of three competitive populations. Math. Biosci. 73:1985;89-101.
    • (1985) Math. Biosci. , vol.73 , pp. 89-101
    • Freedman, H.I.1    Waltman, P.2
  • 14
    • 1542677593 scopus 로고    scopus 로고
    • On the fixed point index of the flow and applications to periodic solutions of differential equations on manifolds
    • Furi M., Spadini M. On the fixed point index of the flow and applications to periodic solutions of differential equations on manifolds. Boll. Un. Mat. Ital. (7). 10-A:1996;333-346.
    • (1996) Boll. Un. Mat. Ital. (7) , vol.10 , pp. 333-346
    • Furi, M.1    Spadini, M.2
  • 15
    • 0002552405 scopus 로고
    • Global asymptotic stability in a periodic Lotka-Volterra system
    • Gopalsamy K. Global asymptotic stability in a periodic Lotka-Volterra system. J. Austral. Math. Soc. Ser. B. 27:1985;66-72.
    • (1985) J. Austral. Math. Soc. Ser. B , vol.27 , pp. 66-72
    • Gopalsamy, K.1
  • 16
    • 0021071835 scopus 로고
    • Competition for fluctuating nutrient
    • Hale J. K., Somolinos A. S. Competition for fluctuating nutrient. J. Math. Biol. 18:1983;225-280.
    • (1983) J. Math. Biol. , vol.18 , pp. 225-280
    • Hale, J.K.1    Somolinos, A.S.2
  • 18
    • 0000063856 scopus 로고
    • On the occurrence of limit cycles in the Volterra-Lotka equation
    • Hofbauer J. On the occurrence of limit cycles in the Volterra-Lotka equation. Nonlinear Anal. TMA. 5:1981;1003-1007.
    • (1981) Nonlinear Anal. TMA , vol.5 , pp. 1003-1007
    • Hofbauer, J.1
  • 19
    • 0038269406 scopus 로고
    • The Theory of Evolution and Dynamical Systems
    • Cambridge: Cambridge Univ. Press
    • Hofbauer J., Sigmund K. The Theory of Evolution and Dynamical Systems. London Math. Soc. Student Texts. 7:1988;Cambridge Univ. Press, Cambridge.
    • (1988) London Math. Soc. Student Texts , vol.7
    • Hofbauer, J.1    Sigmund, K.2
  • 20
    • 0026616222 scopus 로고
    • Permanence and the dynamics of biological systems
    • Hutson V., Schmitt K. Permanence and the dynamics of biological systems. Math. Biosci. 111:1992;1-71.
    • (1992) Math. Biosci. , vol.111 , pp. 1-71
    • Hutson, V.1    Schmitt, K.2
  • 21
    • 38249009803 scopus 로고
    • Some new results on the periodic competition model
    • Korman P. Some new results on the periodic competition model. J. Math. Anal. Appl. 171:1992;131-138.
    • (1992) J. Math. Anal. Appl. , vol.171 , pp. 131-138
    • Korman, P.1
  • 24
    • 0003295303 scopus 로고
    • Topological Degree Methods for Nonlinear Boundary Value Problems
    • Providence: Amer. Math. Soc.
    • Mawhin J. Topological Degree Methods for Nonlinear Boundary Value Problems. CBMS 40. 1979;Amer. Math. Soc. Providence.
    • (1979) CBMS 40
    • Mawhin, J.1
  • 25
    • 0001111868 scopus 로고    scopus 로고
    • Leray-Schauder continuation theorems in the absence of a priori bounds
    • Mawhin J. Leray-Schauder continuation theorems in the absence of a priori bounds. Topological Methods Nonlinear Anal. 9:1997;179-200.
    • (1997) Topological Methods Nonlinear Anal. , vol.9 , pp. 179-200
    • Mawhin, J.1
  • 26
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • May R. M., Leonard W. J. Nonlinear aspects of competition between three species. SIAM J. Appl. Math. 29:1975;243-253.
    • (1975) SIAM J. Appl. Math. , vol.29 , pp. 243-253
    • May, R.M.1    Leonard, W.J.2
  • 27
    • 0007254672 scopus 로고    scopus 로고
    • Cyclic competition of three species in the time periodic and diffusive case
    • Merino S. Cyclic competition of three species in the time periodic and diffusive case. J. Math. Biol. 34:1996;789-809.
    • (1996) J. Math. Biol. , vol.34 , pp. 789-809
    • Merino, S.1
  • 28
    • 0019495964 scopus 로고
    • Competition systems with periodic coefficients: A geometric approach
    • de Mottoni P., Schiaffino A. Competition systems with periodic coefficients: A geometric approach. J. Math. Biol. 11:1981;319-335.
    • (1981) J. Math. Biol. , vol.11 , pp. 319-335
    • De Mottoni, P.1    Schiaffino, A.2
  • 29
    • 0039620952 scopus 로고    scopus 로고
    • An exclusion principle for periodic competitive systems in three dimensions
    • R. Ortega, A. Tineo, An exclusion principle for periodic competitive systems in three dimensions, Nonlinear Anal. TMA.
    • Nonlinear Anal. TMA
    • Ortega, R.1    Tineo, A.2
  • 30
    • 84980196829 scopus 로고
    • Nonlinear Sturm-Liouville problems for second order ordinary differential equations
    • Rabinowitz P. Nonlinear Sturm-Liouville problems for second order ordinary differential equations. Comm. Pure Appl. Math. 23:1970;939-961.
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 939-961
    • Rabinowitz, P.1
  • 31
    • 0002545780 scopus 로고
    • On ω-limits for competition between three species
    • Schuster P., Sigmund K., Wolff R. On ω-limits for competition between three species. SIAM J. Appl. Math. 37:1979;49-54.
    • (1979) SIAM J. Appl. Math. , vol.37 , pp. 49-54
    • Schuster, P.1    Sigmund, K.2    Wolff, R.3
  • 32
    • 0000728807 scopus 로고
    • Periodic solutions of periodic competitive and cooperative systems
    • Smith H. L. Periodic solutions of periodic competitive and cooperative systems. SIAM J. Math. Anal. 17:1986;1289-1318.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1289-1318
    • Smith, H.L.1
  • 33
    • 38249038749 scopus 로고
    • Periodic competitive differential equations and the discrete dynamics of competitive maps
    • Smith H. L. Periodic competitive differential equations and the discrete dynamics of competitive maps. J. Differential Equations. 64:1986;165-194.
    • (1986) J. Differential Equations , vol.64 , pp. 165-194
    • Smith, H.L.1
  • 34
    • 84972502093 scopus 로고
    • Asymptotic behaviour of positive solutions of the nonautonomous Lotka-Volterra competition equations
    • Tineo A. Asymptotic behaviour of positive solutions of the nonautonomous Lotka-Volterra competition equations. Differential Integral Equations. 6:1993;449-457.
    • (1993) Differential Integral Equations , vol.6 , pp. 449-457
    • Tineo, A.1
  • 35
    • 0001859202 scopus 로고
    • A different consideration about the globally asymptotically stable solution of the periodicn
    • Tineo A., Alvarez C. A different consideration about the globally asymptotically stable solution of the periodicn. J. Math. Anal. Appl. 159:1991;44-50.
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 44-50
    • Tineo, A.1    Alvarez, C.2
  • 36
    • 0027992357 scopus 로고
    • Permanence of populations in a polluted environment
    • Wang W., Ma Z. Permanence of populations in a polluted environment. Math. Biosci. 122:1994;235-248.
    • (1994) Math. Biosci. , vol.122 , pp. 235-248
    • Wang, W.1    Ma, Z.2
  • 38
    • 0000449935 scopus 로고
    • Permanence and positive periodic solutions for Kolmogorov competing species systems
    • Zanolin F. Permanence and positive periodic solutions for Kolmogorov competing species systems. Results in Math. 21:1992;224-250.
    • (1992) Results in Math. , vol.21 , pp. 224-250
    • Zanolin, F.1
  • 39
    • 0000785077 scopus 로고    scopus 로고
    • Continuation theorems for the periodic problem via the translation operator
    • Zanolin F. Continuation theorems for the periodic problem via the translation operator. Rend. Sem. Mat. Univ. e Politecnico Torino. 54:1996;1-23.
    • (1996) Rend. Sem. Mat. Univ. e Politecnico Torino , vol.54 , pp. 1-23
    • Zanolin, F.1
  • 40
    • 0002943884 scopus 로고
    • The qualitative analysis ofn
    • Zhao X.-Q. The qualitative analysis ofn. Math. Comput. Modelling. 15:1991;3-8.
    • (1991) Math. Comput. Modelling , vol.15 , pp. 3-8
    • Zhao, X.-Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.